Emergent reflection symmetry from nonrelativistic composite fermions

Kumar, Prashant; Mulligan, Michael

doi:10.1103/physrevb.99.205151

Cited by 10 publications

(13 citation statements)

References 34 publications

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“…We also find that nuclear constraints tend to give larger R 1.4 and LMXB sources with thermonuclear bursts tend to indicate smaller ones. Our Λ 1.4 bounds found in Test F are consistent with those of Kumar, & Landry (2019). However, our median value is a bit higher than that found in Kumar, & Landry (2019).…”

Section: Discussion and Summarysupporting

confidence: 88%

“…Our Λ 1.4 bounds found in Test F are consistent with those of Kumar, & Landry (2019). However, our median value is a bit higher than that found in Kumar, & Landry (2019). Such a difference is likely caused by the very different analysis methods and by our additional bounds on M TOV .…”

Section: Discussion and Summarysupporting

confidence: 79%

“…With the posterior samples of {M 1 , M 2 , Λ 1 , Λ 2 } of GW170817 and some "universal" relations, it is possible to "extrapolate" these properties to similar masses and thus get the constraints of some global properties at these given masses, in particular those accurately measured for the galactic double NS systems (Landry & Kumar 2018;Kumar, & Landry 2019). Tidal deformability can be expanded into a Taylor series around a "canonical" reference mass M ref (Del Pozzo et al 2013).…”

Section: Constraining the Properties Of Galactic Double Ns Systemsmentioning

confidence: 99%

“…The discovery of the first NS merger-driven gravitationalwave event GW170817 (Abbott et al 2017a) has provided the community with a valuable/novel opportunity to reliably probe the EoS and the NS properties. In particular, with some reasonable assumptions and EoSindependent relationships, the tidal deformabilities and the radii of the two NSs involved in GW170817 have been measured and some bulk properties of NSs have been inferred (e.g., Annala et al 2018;Fattoyev et al 2018;Most et al 2018;Lim & Holt 2018;De et al 2018;Abbott et al 2018;Landry & Kumar 2018;Lim & Holt 2019;Kumar, & Landry 2019).…”

Section: Introductionmentioning

confidence: 99%

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The Equation of State and Some Key Parameters of Neutron Stars: Constraints from GW170817, the Nuclear Data, and the Low-mass X-Ray Binary Data

Jiang

Tang

Shao

et al. 2019

ApJ

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In this work we parameterize the equation of state of dense neutron star (NS) matter with four pressure parameters of {p 1 ,p 2 ,p 3 ,p 4 } and then set the combined constraints with the data of GW 170817 and the data of six low-mass X-ray binaries (LMXBs) with thermonuclear burst or alternatively the symmetry energy of the nuclear interaction. We find that the nuclear data effectively narrow down the possible range ofp 1 , the gravitational-wave data plays the leading role in boundingp 2 , and the LMXB data as well as the lower bound on the maximal gravitational mass of non-rotating NSs govern the constraints onp 3 andp 4 . Using posterior samples of pressure parameters and some universal relations, we further investigate how the current data sets can advance our understanding of tidal deformability (Λ), moment of inertia (I), and binding energy (BE) of NSs. For a canonical mass of 1.4M , we have I 1.4 = 1.43 +0.30 −0.13 × 10 38 kg · m 2 , Λ 1.4 = 390 +280 −210 , R 1.4 = 11.8 +1.2 −0.7 km and BE 1.4 = 0.16 +0.01 −0.02 M if the constraints from the nuclear data and the gravitational-wave data have been jointly applied. For the joint analysis of gravitational-wave data and the LMXB data, we have I 1.4 = 1.28 +0.15 −0.08 × 10 38 kg · m 2 , Λ 1.4 = 220 +90 −90 , R 1.4 = 11.1 +0.7 −0.6 km, and BE 1.4 = 0.18 +0.01 −0.01 M . These results suggest that the current constraints on Λ and R still suffer from significant systematic uncertainties, while I 1.4 and BE 1.4 are better constrained. arXiv:1909.06944v2 [astro-ph.HE]

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Section: Discussion and Summarysupporting

confidence: 88%

Section: Discussion and Summarysupporting

confidence: 79%

Section: Constraining the Properties Of Galactic Double Ns Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Equation of State and Some Key Parameters of Neutron Stars: Constraints from GW170817, the Nuclear Data, and the Low-mass X-Ray Binary Data

Jiang

Tang

Shao

et al. 2019

ApJ

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“…(Mean-field theory means that fluctuations of an emergent gauge field coupling to the composite fermion are ignored.) Furthermore, both composite fermion theories yield identical predictions for a number of observables in mean-field theory [14,16,[19][20][21], e.g., thermopower at half-filling and magnetoroton spectra away from half-filling. These results suggest that the HLR and Dirac composite fermion theories may belong to the same universality class.…”

Section: 1 Motivationmentioning

confidence: 86%

Fluctuations and magnetoresistance oscillations near the half-filled Landau level

Mitra

Mulligan

2019

Phys. Rev. B

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We study theoretically the magnetoresistance oscillations near a half-filled lowest Landau level (ν = 1/2) that result from the presence of a periodic one-dimensional electrostatic potential. We use the Dirac composite fermion theory of Son [Phys. Rev. X 5 031027 (2015)], where the ν = 1/2 state is described by a (2+1)-dimensional theory of quantum electrodynamics. We extend previous work that studied these oscillations in the mean-field limit by considering the effects of gauge field fluctuations within a large flavor approximation. A self-consistent analysis of the resulting Schwinger-Dyson equations suggests that fluctuations dynamically generate a Chern-Simons term for the gauge field and a magnetic field-dependent mass for the Dirac composite fermions away from ν = 1/2. We show how this mass results in a shift of the locations of the oscillation minima that improves the comparison with experiment [Kamburov et. al., Phys. Rev. Lett. 113, 196801 (2014)]. The temperature-dependent amplitude of these oscillations may enable an alternative way to measure this mass. This amplitude may also help distinguish the Dirac and Halperin, Lee, and Read composite fermion theories of the half-filled Landau level.

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Electromagnetic response of composite Dirac fermions in the half-filled Landau level

Hofmann

2021

Phys. Rev. B

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Emergent reflection symmetry from nonrelativistic composite fermions

Cited by 10 publications

References 34 publications

The Equation of State and Some Key Parameters of Neutron Stars: Constraints from GW170817, the Nuclear Data, and the Low-mass X-Ray Binary Data

The Equation of State and Some Key Parameters of Neutron Stars: Constraints from GW170817, the Nuclear Data, and the Low-mass X-Ray Binary Data

Fluctuations and magnetoresistance oscillations near the half-filled Landau level

Electromagnetic response of composite Dirac fermions in the half-filled Landau level

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